{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:22:02Z","timestamp":1753881722381,"version":"3.41.2"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Inter. Net."],"published-print":{"date-parts":[[2021,9]]},"abstract":"<jats:p> For bipartite graphs [Formula: see text], the bipartite Ramsey number [Formula: see text] is the least positive integer [Formula: see text] so that any coloring of the edges of [Formula: see text] with [Formula: see text] colors will result in a copy of [Formula: see text] in the [Formula: see text]th color for some [Formula: see text]. In this paper, we get the exact value of [Formula: see text], and obtain the upper and lower bounds of [Formula: see text], where [Formula: see text] denotes a path with [Formula: see text] vertice s. <\/jats:p>","DOI":"10.1142\/s0219265921500134","type":"journal-article","created":{"date-parts":[[2021,7,19]],"date-time":"2021-07-19T15:11:57Z","timestamp":1626707517000},"source":"Crossref","is-referenced-by-count":1,"title":["A Note on the Multi-Colored Bipartite Ramsey Number for Paths"],"prefix":"10.1142","volume":"21","author":[{"given":"Hanxiao","family":"Qiao","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ke","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Suonan","family":"Renqian","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Renqing","family":"Cuo","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,10,12]]},"reference":[{"doi-asserted-by":"publisher","key":"S0219265921500134BIB001","DOI":"10.1137\/18M1179420"},{"doi-asserted-by":"publisher","key":"S0219265921500134BIB002","DOI":"10.7151\/dmgt.2034"},{"doi-asserted-by":"publisher","key":"S0219265921500134BIB003","DOI":"10.1006\/aama.1998.0620"},{"doi-asserted-by":"publisher","key":"S0219265921500134BIB004","DOI":"10.21136\/CMJ.1993.128379"},{"doi-asserted-by":"publisher","key":"S0219265921500134BIB005","DOI":"10.37236\/1561"},{"doi-asserted-by":"publisher","key":"S0219265921500134BIB006","DOI":"10.1201\/9781439863879"},{"doi-asserted-by":"publisher","key":"S0219265921500134BIB007","DOI":"10.5614\/ejgta.2013.1.2.2"}],"container-title":["Journal of Interconnection Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219265921500134","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,18]],"date-time":"2021-10-18T18:04:00Z","timestamp":1634580240000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219265921500134"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,9]]},"references-count":7,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2021,9]]}},"alternative-id":["10.1142\/S0219265921500134"],"URL":"https:\/\/doi.org\/10.1142\/s0219265921500134","relation":{},"ISSN":["0219-2659","1793-6713"],"issn-type":[{"type":"print","value":"0219-2659"},{"type":"electronic","value":"1793-6713"}],"subject":[],"published":{"date-parts":[[2021,9]]},"article-number":"2150013"}}